In recent years, a lot of progress has been made in exploring and
understanding both DM-EFTs and a variety of complete models. The same
cannot (yet) be said about simplified models that bridge between the
two ends of the spectrum in theory space. Following the spirit of [1]}, [2]},
we attempt in this document to lay the theoretical groundwork that
should be useful for
the DM@LHC practitioner. We begin in
Section  by discussing the general criteria that a
simplified DM model should fulfill to make it useful at the LHC. This
section contains in addition an explanation of the concept of Minimal
Flavor Violation (MFV) [3]}, [4]}, [5]}, [6]}
and its importance to model building as well as a brief note on the
relevance of the spin of the DM particle for LHC searches. Simplified spin-0
\(s\) -channel models are then described in Section .
Since these scenarios can be understood as limiting cases of Higgs
portal models, we provide in Section 
a summary of the most important representatives of these theories.
Section  is devoted to simplified spin-1 \(s\) -channel
models, while Section  deals with \(t\) -channel
scenarios. To make the work self-contained, we not only discuss the
LHC phenomenology of each simplified model, but also provide the
relevant formulae to analyze the constraints from direct detection and
annihilation of DM. We conclude and provide an outlook in
Section .
